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Simplifying 3(x + 7) = 6(x + -1) + -4 Reorder the terms: 3(7 + x) = 6(x + -1) + -4 (7 * 3 + x * 3) = 6(x + -1) + -4 (21 + 3x) = 6(x + -1) + -4 Reorder the terms: 21 + 3x = 6(-1 + x) + -4 21 + 3x = (-1 * 6 + x * 6) + -4 21 + 3x = (-6 + 6x) + -4 Reorder the terms: 21 + 3x = -6 + -4 + 6x Combine like terms: -6 + -4 = -10 21 + 3x = -10 + 6x Solving 21 + 3x = -10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 21 + 3x + -6x = -10 + 6x + -6x Combine like terms: 3x + -6x = -3x 21 + -3x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 21 + -3x = -10 + 0 21 + -3x = -10 Add '-21' to each side of the equation. 21 + -21 + -3x = -10 + -21 Combine like terms: 21 + -21 = 0 0 + -3x = -10 + -21 -3x = -10 + -21 Combine like terms: -10 + -21 = -31 -3x = -31 Divide each side by '-3'. x = 10.33333333 Simplifying x = 10.33333333
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